Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
528h |
Isogeny class |
Conductor |
528 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
361304064 = 212 · 36 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,-364] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:24:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
1.9892866004483 |
L(r)(E,1)/r! |
Ω |
1.3723166787329 |
Real period |
R |
0.48319425374544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33a1 2112v2 1584q2 13200bm2 |
Quadratic twists by: -4 8 -3 5 |